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arXiv · 2210.03744

Fermat's Last Theorem over $\mathbb{Q}(\sqrt{2},\sqrt{3})$

Maleeha Khawaja·Frazer Jarvis
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Abstract

In this paper, we begin the study of the Fermat equation $x^n+y^n=z^n$ over real biquadratic fields. In particular, we prove that there are no non-trivial solutions to the Fermat equation over $\mathbb{Q}(\sqrt{2},\sqrt{3})$ for $n\geq 4$.

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Maleeha Khawaja, Frazer Jarvis. 2022-10-07. Fermat's Last Theorem over $\mathbb{Q}(\sqrt{2},\sqrt{3})$. https://doi.org/10.2140/ant.2025.19.457

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